Notes on q-Hermite based unified Apostol type polynomials
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DOI: 10.1080/09720502.2019.1709317
Abstract: Abstract In this article, a new class of q-Hermite based unified Apostol type polynomials is introduced by means of generating function and series representation. Several important formulas and recurrence relations for these polynomials are derived… read more here.
Keywords: type polynomials; unified apostol; based unified; apostol type ... See more keywords
Exploring the properties of multivariable Hermite polynomials in relation to Apostol-type Frobenius–Genocchi polynomials
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DOI: 10.1515/gmj-2024-2071
Abstract: Abstract This work presents a general framework that innovates and explores different mathematical aspects associated with special functions by utilizing the mathematical physics-based idea of monomiality. This study presents a unique family of multivariable Hermite… read more here.
Keywords: multivariable hermite; hermite polynomials; genocchi polynomials; frobenius genocchi ... See more keywords
The multi-variable unified family of generalized Apostol-type polynomials
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DOI: 10.2298/aadm190405015e
Abstract: The aim of this paper is to investigate and give a new family of multi-variable Apostol-type polynomials. This family is related to Apostol-Euler, Apostol-Bernoulli, Apostol-Genocchi and Apostol-laguerre polynomials. Moreover, we derive some implicit summation formulae… read more here.
Keywords: type polynomials; multi variable; variable unified; family ... See more keywords
Explicit Properties of Apostol-Type Frobenius–Euler Polynomials Involving q-Trigonometric Functions with Applications in Computer Modeling
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DOI: 10.3390/math11102386
Abstract: In this article, we define q-cosine and q-sine Apostol-type Frobenius–Euler polynomials and derive interesting relations. We also obtain new properties by making use of power series expansions of q-trigonometric functions, properties of q-exponential functions, and… read more here.
Keywords: trigonometric functions; apostol type; euler polynomials; frobenius euler ... See more keywords
Fourier Series Expansion and Integral Representation of Apostol-Type Frobenius-Euler Polynomials of Complex Parameters and Order α
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DOI: 10.3390/sym14091860
Abstract: In this paper, the Fourier series expansions of Apostol-type Frobenius–Euler polynomials of complex parameters and order α are derived, and consequently integral representations of these polynomials are established. This paper provides some techniques in computing… read more here.
Keywords: frobenius euler; euler polynomials; type frobenius; apostol type ... See more keywords
Integral Transforms and Extended Hermite-Apostol Type Frobenius-Genocchi Polynomials
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DOI: 10.46793/kgjmat2401.041w
Abstract: The schemata for applications of the integral transforms of mathematical physics to recurrence relations, differential, integral, integro-differential equations and in the theory of special functions has been developed. The article aims to introduce and present… read more here.
Keywords: genocchi polynomials; integral transforms; type frobenius; frobenius genocchi ... See more keywords